2*5=-x^2 eching

$$2 \cdot 5 = - { x }^{ 2 }$$

x uchun yechish (complex solution)

$$x=-\sqrt{10}i\approx -0-3,16227766i$$

$$x=\sqrt{10}i\approx 3,16227766i$$

Kvadrat ildizini topish bo'yicha qadamlar

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$10=-x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-x^{2}=10$$

Ikki tarafini -1 ga bo‘ling.

$$x^{2}=-10$$

Tenglama yechildi.

$$x=\sqrt{10}i x=-\sqrt{10}i$$

Kvadrat tenglamalaridan foydalanish qoidalari

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$10=-x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-x^{2}=10$$

Ikkala tarafdan 10 ni ayirish.

$$-x^{2}-10=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -1 ni a, 0 ni b va -10 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)\left(-10\right)}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-1\right)\left(-10\right)}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4\left(-10\right)}}{2\left(-1\right)}$$

4 ni -10 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-40}}{2\left(-1\right)}$$

-40 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{10}i}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{10}i}{-2}$$

x=\frac{0±2\sqrt{10}i}{-2} tenglamasini yeching, bunda ± musbat.

$$x=-\sqrt{10}i$$

x=\frac{0±2\sqrt{10}i}{-2} tenglamasini yeching, bunda ± manfiy.

$$x=\sqrt{10}i$$

Tenglama yechildi.

$$x=-\sqrt{10}i x=\sqrt{10}i$$